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Finding the Third Proportional to 2,100 and 5,178

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Solution

The third proportional to 2,100 and 5,178 is: 12,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100 : 5,178 = 5,178 : x
  2. Step 2: Convert to fraction form
    2,100/5,178 = 5,178/x
  3. Step 3: Cross multiply
    2,100x = 5,178 × 5,178
  4. Step 4: Simplify right side
    2,100x = 26,811,684
  5. Step 5: Solve for x
    x = 26,811,684/2,100
  6. Step 6: Final answer
    x = 12,767.47

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.